Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/739,5423/590
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 374,5423
Greatest Common Factor of Numerators i.e. GCF of 374,5423 is 187 .
LCM of Denominators means LCM of 739,590 as per the given fractions.
LCM of 739,590 is 436010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 374,5423
11 | 374, 5423 |
17 | 34, 493 |
2, 29 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 5423
List of positive integer factors of 5423 that divides 5423 without a remainder.
1,11,17,29,187,319,493,5423
Greatest Common Factor
We found the factors 374,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 374,5423 is 187.
Lets's calculate LCM of 739,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 436010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/436010
Therefore, the GCF of Fractions 374/739,5423/590 is 187/436010
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 739,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,590) x common factors =1 x 1 = 1
LCM(739,590) = ( 739 × 590 ) / 1
LCM(739,590) = 436010 / 1
LCM(739,590) = 436010
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 374/739, 5423/590?
Answer: GCF of Numerators as per given numbers 374/739, 5423/590 is
GCF of Numerators i.e. for 374,5423 is 187
LCM of denominators i.e. for 739,590 is 436010.
Thus, GCF of Fractions is 187/436010.Finally, GCF of Fractions for 374/739, 5423/590 is 187/436010.